Least Common Multiple of 4304 and 4310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4304 and 4310 the smallest integer that is 9275120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4304 and 4310 is 9275120.

LCM(4304,4310) = 9275120

LCM of 4304 and 4310

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4304 and 4310

LCM of 4304 and 4310 is 9275120

Least common multiple can be found by multiplying the highest exponent prime factors of 4304 and 4310. First we will calculate the prime factors of 4304 and 4310.

Prime Factorization of 4304


2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 4304 are 2,269. Prime factorization of 4304 in exponential form is:

4304 = 24×2691

Prime Factorization of 4310


2 4310
5 2155
431 431
1

Prime factors of 4310 are 2, 5,431. Prime factorization of 4310 in exponential form is:

4310 = 21×51×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 4304 and 4310.

LCM(4304,4310) = 24×51×2691×4311
LCM(4304,4310) = 9275120

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1, 2, 5, 10, 431, 862, 2155, 4310

Least Common Multiple of 4304 and 4310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4304 and 4310, than apply into the LCM equation.

GCF(4304,4310) = 2
LCM(4304,4310) = ( 4304 × 4310) / 2
LCM(4304,4310) = 18550240 / 2
LCM(4304,4310) = 9275120

Properties of LCM 4304 and 4310

(i) The LCM of 4310 and 4304 is associative

LCM of 4304 and 4310 = LCM of 4310 and 4304

Related Least Common Multiples of 4304

Related Least Common Multiples of 4310

Frequently Asked Questions on LCM of 4304 and 4310

1. What is the LCM of 4304 and 4310?

Answer: LCM of 4304 and 4310 is 9275120.

2. What are the Factors of 4304?

Answer: Factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304. There are 10 integers that are factors of 4304. The greatest factor of 4304 is 4304.

3. What are the Factors of 4310?

Answer: Factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310. There are 8 integers that are factors of 4310. The greatest factor of 4310 is 4310.

4. How to Find the LCM of 4304 and 4310?

Answer:

Least Common Multiple of 4304 and 4310 = 9275120

Step 1: Find the prime factorization of 4304

4304 = 2 x 2 x 2 x 2 x 269

Step 2: Find the prime factorization of 4310

4310 = 2 x 5 x 431

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9275120 = 2 x 2 x 2 x 2 x 5 x 269 x 431

Step 4: Therefore, the least common multiple of 4304 and 4310 is 9275120.